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Finding the Third Proportional to 2,966,724 and 6,353,352

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Solution

The third proportional to 2,966,724 and 6,353,352 is: 13,605,944.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966,724 : 6,353,352 = 6,353,352 : x
  2. Step 2: Convert to fraction form
    2,966,724/6,353,352 = 6,353,352/x
  3. Step 3: Cross multiply
    2,966,724x = 6,353,352 × 6,353,352
  4. Step 4: Simplify right side
    2,966,724x = 40,365,081,635,904
  5. Step 5: Solve for x
    x = 40,365,081,635,904/2,966,724
  6. Step 6: Final answer
    x = 13,605,944.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.